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Finding the Fourth Proportional to 8,542.04, 11,788.80 and 5,185.72

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Solution

The fourth proportional to 8,542.04, 11,788.80 and 5,185.72 is: 7,156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.04 : 11,788.80 = 5,185.72 : x
  2. Step 2: Convert to fraction form
    8,542.04/11,788.80 = 5,185.72/x
  3. Step 3: Cross multiply
    8,542.04x = 11,788.80 × 5,185.72
  4. Step 4: Simplify right side
    8,542.04x = 61,133,415.94
  5. Step 5: Solve for x
    x = 61,133,415.94/8,542.04
  6. Step 6: Final answer
    x = 7,156.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.